Overview
- Introduces new and useful controllability to readers
- Establishes a complete theory on the local exact boundary controllability of nodal profile for 1-D quasilinear hyperbolic systems
- Illerstrate the controllability with a simple constructive method with modular structure
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book provides a comprehensive overview of the exact boundary controllability of nodal profile, a new kind of exact boundary controllability stimulated by some practical applications. This kind of controllability is useful in practice as it does not require any precisely given final state to be attained at a suitable time t=T by means of boundary controls, instead it requires the state to exactly fit any given demand (profile) on one or more nodes after a suitable time t=T by means of boundary controls. In this book we present a general discussion of this kind of controllability for general 1-D first order quasilinear hyperbolic systems and for general 1-D quasilinear wave equations on an interval as well as on a tree-like network using a modular-structure construtive method, suggested in LI Tatsien's monograph "Controllability and Observability for Quasilinear Hyperbolic Systems"(2010), and we establish a complete theory on the local exact boundary controllability ofnodal profile for 1-D quasilinear hyperbolic systems.
Authors and Affiliations
Bibliographic Information
Book Title: Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems
Authors: Tatsien Li, Ke Wang, Qilong Gu
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-981-10-2842-7
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2016
Softcover ISBN: 978-981-10-2841-0Published: 17 November 2016
eBook ISBN: 978-981-10-2842-7Published: 08 November 2016
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: IX, 108
Number of Illustrations: 27 b/w illustrations
Topics: Systems Theory, Control, Partial Differential Equations